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2 years ago

Find the Sum/Difference of the following integers. 1. -2 + 9 =

Mathematics

1 answer:

Fantom [35]2 years ago

4 0

Answer:

1. 7

2. -20

3. 1

4. -9

5. 0

6. 5

7. 1

8. -1

9. -19

10. 1

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What is the value of the expression 44?<br> Please help I only have an hour! I will give brainliest!

Eduardwww [97]

Answer:

256

Step-by-step explanation:

The value is 256 because 4^4 is 4*4*4*4 which equals 256 :))

Hope this helps:)) Plz mark Brainliest :))

7 0

3 years ago

Aubrey wants to buy a new coat that has a regular price of $185. This weekend the coat is on sale at a 33% discount what is the

sweet-ann [11.9K]

Find 33% of 185:

0.33 * 185 = 61.05

Subtract this from the regular price:

185 - 61.05 = 123.95

So the sale price is $123.95

4 0

3 years ago

Read 2 more answers

A fossilized leaf contains 18% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as

Sati [7]

Answer: The age of the fossilized leaf is 13829 years.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant

t = age of sample

a = let initial amount of the reactant = 100

a - x = amount left after decay process = $\frac{18}{100}\times 100=18$

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

$t_{\frac{1}{2}}=\frac{0.693}{k}$

$k=\frac{0.693}{5600years}=0.00012years^{-1}$

b) for finding the age

$t=\frac{2.303}{0.00012}\log\frac{100}{18}$

$t=13829years$

The age of the fossilized leaf is 13829 years.

7 0

3 years ago

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

8 0

2 years ago

What is 0.125 0.4 0.62 1.05 0.05 from least to greatest

aksik [14]

0.05

0.125

0.4

0.62

1.05

7 0

3 years ago